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Almost commutative bands

Published online by Cambridge University Press:  18 May 2009

T. E. Hall
T. E. Hall
Affiliation:
University of Stirling
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To find a “ description of the structure of bands which is complete modulo semilattices ” (from page 25 of [1]) seems to be a very difficult problem. As far as the author is aware, the only class of bands (except for rectangular bands) for which this problem has been solved (see [4] and [3]) is the class of all bands satisfying a generalization of commutativity, namely the condition that efgh = egfh for all elements e, f, g and h.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 2 , September 1972 , pp. 176 - 178
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

REFERENCES

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4.Kimura, N. and Yamada, M., Note on idempotent semigroups II, Proc. Japan Acad. 34 (1958), 110–112.Google Scholar
5.Pippey, J., Some structure theorems for bands, Honours year thesis (1969), Monash University.Google Scholar
6.Yamada, M., On a regular semigroup in which the idempotents form a band, Pacific J. Math. 33 (1970), 261–272.CrossRefGoogle Scholar